(8z-2)(8-z)=0

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Solution for (8z-2)(8-z)=0 equation: 


Simplifying
(8z + -2)(8 + -1z) = 0

Reorder the terms:
(-2 + 8z)(8 + -1z) = 0

Multiply (-2 + 8z) * (8 + -1z)
(-2(8 + -1z) + 8z * (8 + -1z)) = 0
((8 * -2 + -1z * -2) + 8z * (8 + -1z)) = 0
((-16 + 2z) + 8z * (8 + -1z)) = 0
(-16 + 2z + (8 * 8z + -1z * 8z)) = 0
(-16 + 2z + (64z + -8z2)) = 0

Combine like terms: 2z + 64z = 66z
(-16 + 66z + -8z2) = 0

Solving
-16 + 66z + -8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 33z + -4z2) = 0

Factor a trinomial.
2((-8 + z)(1 + -4z)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + z)' equal to zero and attempt to solve:

Simplifying
-8 + z = 0

Solving
-8 + z = 0

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + z = 0 + 8
z = 0 + 8

Combine like terms: 0 + 8 = 8
z = 8

Simplifying
z = 8

Subproblem 2
Set the factor '(1 + -4z)' equal to zero and attempt to solve:

Simplifying
1 + -4z = 0

Solving
1 + -4z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -4z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4z = 0 + -1
-4z = 0 + -1

Combine like terms: 0 + -1 = -1
-4z = -1

Divide each side by '-4'.
z = 0.25

Simplifying
z = 0.25
Solution
z = {8, 0.25}

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